A Refusal chess Problem

The following problem appeared in The Problemist of March 1970, and was reprinted in Variant Chess, issue 1, Winter 1990.

The author of the problem is C. H. O'D. Alexander.

White: King d3; Queen h3; Pawn a3, b2. Black: King d5. Mate in 2; Refusal chess.

Mate in 2 means: white moves, such that he can mate black in his second move, regardless what black moved. Refusal chess means: you may refuse one of your opponents moves each turn. (However, when your king is in check, you must move him out of check: if you have only one possibility to do so, you lose. Note that this is slightly different from the rules of the original refusal chess: there you may not refuse the only legal move of a player.)

The first solution to this problem was send in by Ralph Betza.